Once we have chosen our set \({n_r}\)  and hence our three generators we can consider the quantum metric at the state \({\psi }\)  associated with the three dimensional parameterization generated by the vector of operators \(\vec{\Lambda }\) . The corresponding QFI matrix, \(Q\)  (see Eq. REF ) can be used to define an intensive, mean QFI density [1]}
\(\bar{f} = \frac{1}{3N} (Q),\) 
